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Tapasranjan Das Grade: 12
        

Q: If ∫x3(√ ((1+x2)/(1-x2)))dx= A √(1-x4) - Bx2(√(1-x4) + C sin-1 (x2) + D ,then A+B+C=?

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Tapasranjan


∫x3(√ ((1+x2)/(1-x2)))dx= A √(1-x4) - Bx2(√(1-x4) + C sin-1 (x2) + D


differentiate w.r.t x


 and simplify


 x2 +x4 = x2(-2A) + x4(4B) +2C -2B


compair coefficient of same power of x


 -2A =1


  A =-1/2




4B =1


 B=1/4




2C -2B =0


 C=B=1/4




now  A+B+C =0


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Badiuddin

7 years ago
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